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Finding the Fourth Proportional to 681.60, 1,020.36 and 437.28

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Solution

The fourth proportional to 681.60, 1,020.36 and 437.28 is: 654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 1,020.36 = 437.28 : x
  2. Step 2: Convert to fraction form
    681.60/1,020.36 = 437.28/x
  3. Step 3: Cross multiply
    681.60x = 1,020.36 × 437.28
  4. Step 4: Simplify right side
    681.60x = 446,183.02
  5. Step 5: Solve for x
    x = 446,183.02/681.60
  6. Step 6: Final answer
    x = 654.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.